Special Functions Q Series And Related Topics PDF Download
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| Author | : Mourad Ismail |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 289 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 082180524X |
Download Special Functions, $q$-Series and Related Topics Book in PDF, ePub and Kindle
This book contains contributions from the proceedings at The Fields Institute workshop on Special Functions, q-Series and Related Topics that was held in June 1995. The articles cover areas from quantum groups and their representations, multivariate special functions, q-series, and symbolic algebra techniques as well as the traditional areas of single-variable special functions. The book contains both pure and applied topics and reflects recent trends of research in the various areas of special functions.
| Author | : Nico M. Temme |
| Publisher | : John Wiley & Sons |
| Total Pages | : 398 |
| Release | : 1996-02-22 |
| Genre | : Mathematics |
| ISBN | : 9780471113133 |
Download Special Functions Book in PDF, ePub and Kindle
This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
| Author | : George E. Andrews |
| Publisher | : Cambridge University Press |
| Total Pages | : 684 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9780521789882 |
Download Special Functions Book in PDF, ePub and Kindle
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
| Author | : Jan Felipe Van Diejen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 290 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821820265 |
Download Algebraic Methods and $q$-Special Functions Book in PDF, ePub and Kindle
There has been revived interest in recent years in the study of special functions. Many of the latest advances in the field were inspired by the works of R. A. Askey and colleagues on basic hypergeometric series and I. G. Macdonald on orthogonal polynomials related to root systems. Significant progress was made by the use of algebraic techniques involving quantum groups, Hecke algebras, and combinatorial methods. The CRM organized a workshop for key researchers in the field to present an overview of current trends. This volume consists of the contributions to that workshop. Topics include basic hypergeometric functions, algebraic and representation-theoretic methods, combinatorics of symmetric functions, root systems, and the connections with integrable systems.
| Author | : Jan Felipe Van Diejen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 302 |
| Release | : 1999-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780821873298 |
Download Algebraic Methods and Q-special Functions Book in PDF, ePub and Kindle
There has been revived interest in recent years in the study of special functions. Many of the latest advances in the field were inspired by the works of R. A. Askey and colleagues on basic hypergeometric series and I. G. Macdonald on orthogonal polynomials related to root systems. Significant progress was made by the use of algebraic techniques involving quantum groups, Hecke algebras, and combinatorial methods. The CRM organized a workshop for key researchers in the field to present an overview of current trends. This volume consists of the contributions to that workshop. Topics include basic hypergeometric functions, algebraic and representation-theoretic methods, combinatorics of symmetric functions, root systems, and the connections with integrable systems.
| Author | : A.M. Mathai |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 480 |
| Release | : 2008-02-13 |
| Genre | : Science |
| ISBN | : 0387758941 |
Download Special Functions for Applied Scientists Book in PDF, ePub and Kindle
This book, written by a highly distinguished author, provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at PhD level. The opening chapter introduces elementary classical special functions. The final chapter is devoted to the discussion of functions of matrix argument in the real case. The text and exercises have been class-tested over five different years.
| Author | : Joaquin Bustoz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 521 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401008183 |
Download Special Functions 2000: Current Perspective and Future Directions Book in PDF, ePub and Kindle
The Advanced Study Institute brought together researchers in the main areas of special functions and applications to present recent developments in the theory, review the accomplishments of past decades, and chart directions for future research. Some of the topics covered are orthogonal polynomials and special functions in one and several variables, asymptotic, continued fractions, applications to number theory, combinatorics and mathematical physics, integrable systems, harmonic analysis and quantum groups, Painlevé classification.
| Author | : Richard Askey |
| Publisher | : Academic Press |
| Total Pages | : 573 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483216160 |
Download Theory and Application of Special Functions Book in PDF, ePub and Kindle
Theory and Application of Special Functions contains the proceedings of the Advanced Seminar on Special Functions sponsored by the Mathematics Research Center of the University of Wisconsin-Madison and held from March 31 to April 2, 1975. The seminar tackled the theory and application of special functions and covered topics ranging from the asymptotic estimation of special functions to association schemes and coding theory. Some interesting results, conjectures, and problems are given. Comprised of 13 chapters, this book begins with a survey of computational methods in special functions, followed by a discussion on unsolved problems in the asymptotic estimation of special functions. The reader is then introduced to periodic Bernoulli numbers, summation formulas, and applications; problems and prospects for basic hypergeometric functions; and linear growth models with many types and multidimensional Hahn polynomials. Subsequent chapters explore two-variable analogues of the classical orthogonal polynomials; special functions of matrix and single argument in statistics; and some properties of the determinants of orthogonal polynomials. This monograph is intended primarily for students and practitioners of mathematics.
| Author | : Mourad E. H. Ismail |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 497 |
| Release | : 2006-03-30 |
| Genre | : Mathematics |
| ISBN | : 0387242333 |
Download Theory and Applications of Special Functions Book in PDF, ePub and Kindle
A collection of articles on various aspects of q-series and special functions dedicated to Mizan Rahman. It also includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject.
| Author | : James Mc Laughlin |
| Publisher | : World Scientific |
| Total Pages | : 401 |
| Release | : 2017-09-22 |
| Genre | : Mathematics |
| ISBN | : 9813223383 |
Download Topics And Methods In Q-series Book in PDF, ePub and Kindle
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important topics such as the q-binomial theorem, Heine's transformation, the Jacobi triple product identity, Ramanujan's 1-psi-1 summation formula, Bailey's 6-psi-6 summation formula and the Rogers-Fine identity, the book goes on to delve more deeply into important topics such as Bailey- and WP-Bailey pairs and chains, q-continued fractions, and mock theta functions. There are also chapters on other topics such as Lambert series and combinatorial proofs of basic hypergeometric identities.The book could serve as a textbook for the subject at the graduate level and as a textbook for a topic course at the undergraduate level (earlier chapters). It could also serve as a reference work for researchers in the area.
